Catiee
19

Your answer is $x= \frac{15}{28}$ Here's the math: $-\frac{6}{7}= -\frac{2}{3}x -\frac{1}{2}$..........................................Simplify $\frac{2}{3} x$ to $\frac{2x}{3}$ $-\frac{6}{7} +\frac{1}{2} = -\frac{2x}{3}$..........................................Add $\frac{1}{2}$ to both sides $- \frac{5}{14} = -\frac{2x}{3}$................................................Simplify $- \frac{6}{7} + \frac{1}{2}$ to $-\frac{5}{14}$ $-\frac{5}{14} * 3 = -2x$..........................................Multiply both sides by 3 $-\frac{15}{14} = -2x$................................................Simplify $-\frac{5}{14} *3$ to $-\frac{15}{14}$ $-\frac{15}{14}/-2 = x$............................................Divide both sides by -2 $\frac{15}{14} /2=x$....................................................Two negatives = a positive $\frac{15}{14*2} =x$.....................................................Simplify $\frac{15}{14} /2$ to $\frac{15}{14*2}$ $\frac{15}{28} =x$.........................................................Simplify $14*2$ to $28$ $x = \frac{15}{28}$........................................................Switch sides Thank you for the question!! I hope this helped! :D Have an amazing day :))